3852403200 has 480 divisors, whose sum is σ = 14430683520. Its totient is φ = 1006387200.

The previous prime is 3852403189. The next prime is 3852403207. The reversal of 3852403200 is 23042583.

3852403200 is a `hidden beast` number, since 3 + 8 + 52 + 403 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3852403207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24537522 + ... + 24537678.

It is an arithmetic number, because the mean of its divisors is an integer number (30063924).

Almost surely, 2^3852403200 is an apocalyptic number.

3852403200 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3852403200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7215341760).

3852403200 is an abundant number, since it is smaller than the sum of its proper divisors (10578280320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3852403200 is a wasteful number, since it uses less digits than its factorization.

3852403200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 3852403200 is about 62067.7307463387. The cubic root of 3852403200 is about 1567.6312474522.

Adding to 3852403200 its reverse (23042583), we get a palindrome (3875445783).

The spelling of 3852403200 in words is "three billion, eight hundred fifty-two million, four hundred three thousand, two hundred".